The file is a single workbook **Book1** with 15 power columns (5–100 µW) already merged, x-axis in eV, suggested fit range **1.23–1.45 eV**. Data is pre-merged (no separate Si/folders), so I'll proceed: despike → Lorentzian fits → allometric fits.

First, mandatory despiking before any fit:



![Power Fit]([file link removed])

## Results

**Pipeline:** 15 pre-merged power spectra (5–100 µW) in `Book1` → despiked (130 cosmic-ray spikes removed) → **Lorentzian fit** on every spectrum (window 1.23–1.45 eV) → allometric fits on both derived plots. All 15 fits converged to **HIGH** quality (R² = 0.89–0.98).

### Per-power extracted values (from Lorentzian fit)

| Power (µW) | Intensity (arb.) | x_c (eV) | FWHM (meV) | R² |
|---:|---:|---:|---:|---:|
| 5   | 98.8    | 1.32062 | 62.4 | 0.887 |
| 10  | 189.9   | 1.32437 | 64.4 | 0.950 |
| 15  | 267.9   | 1.32636 | 64.1 | 0.958 |
| 20  | 353.8   | 1.32783 | 62.7 | 0.968 |
| 25  | 425.2   | 1.32905 | 61.7 | 0.973 |
| 30  | 516.0   | 1.32998 | 61.3 | 0.975 |
| 35  | 564.8   | 1.33044 | 60.8 | 0.978 |
| 40  | 694.6   | 1.33152 | 59.3 | 0.981 |
| 45  | 738.5   | 1.33179 | 59.1 | 0.981 |
| 50  | 818.3   | 1.33279 | 59.0 | 0.981 |
| 60  | 935.9   | 1.33317 | 58.0 | 0.982 |
| 70  | 1140.4  | 1.33430 | 57.1 | 0.983 |
| 80  | 1264.7  | 1.33446 | 56.3 | 0.983 |
| 90  | 1538.0  | 1.33509 | 55.3 | 0.984 |
| 100 | 1714.6  | 1.33562 | 54.4 | 0.984 |

### Allometric fits

**① Intensity vs power** — $I = a\,P^{b}$
- $a = 16.28 \pm 1.81$
- **$b = 1.0048 \pm 0.0261$**, R² = 0.995 → essentially **linear (excitonic)** scaling; no saturation or biexciton regime in 5–100 µW.

**② Peak position vs power** — $x_c$ vs $P$
- **Blueshift** with increasing power: $x_c$ rises from 1.3206 eV (5 µW) to 1.3356 eV (100 µW), ≈ **+15 meV** total, ≈ **+5.0 meV/decade**. FWHM narrows slightly (62 → 54 meV).

📥 Full data: [power_fit_results.csv]([file link removed])

RESULT: b = 1.0048 ± 0.0261